Mathematics College

(07.03)

An equation is shown below:

5(2x - 8) + 15 = -15

Write the steps you will use to solve the equation and explain each step.

Answers

Answer 1

Answer:

x = 1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to Right  

Equality Properties

Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of Equality

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

5(2x - 8) + 15 = -15

Step 2: Solve for x

[Subtraction Property of Equality] Subtract 15 on both sides:                   5(2x - 8) = -30[Division Property of Equality] Divide 5 on both sides:                               2x - 8 = -6[Addition Property of Equality] Add 8 on both sides:                                 2x = 2[Division Property of Equality] Divide 2 on both sides:                                x = 1

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x:                                                                                               5(2(1) - 8) + 15 = -15(Parenthesis) Multiply:                                                                                   5(2 - 8) + 15 = -15(Parenthesis) Subtract:                                                                                 5(-6) + 15 = -15Multiply:                                                                                                         -30 + 15 = -15Add:                                                                                                               -15 = -15

Here we see that -15 does indeed equal -15.

∴ x = 1 is the solution to the equation.

Answer 2

Answer: x=1

Step-by-step explanation:

Let's solve your equation step-by-step.

5(2x−8)+15=−15

Step 1: Simplify both sides of the equation.

5(2x−8)+15=−15

(5)(2x)+(5)(−8)+15=−15(Distribute)

10x+−40+15=−15

(10x)+(−40+15)=−15(Combine Like Terms)

10x+−25=−15

10x−25=−15

Step 2: Add 25 to both sides.

10x−25+25=−15+25

10x=10

Step 3: Divide both sides by 10.

10x/10=10/10

x=1

Related Questions

The length of a rectangle is three times the width. The perimeter of the rectangle is 32 inches. What is the area of the rectangle (in square inches)?

Answers

Answer:

48 square inches

plz mark brainliest

Step-by-step explanation:

l= 3w

perimeter = 2(l+w) =2(3w+w) = 2(4w)= 8w

32=8w

w=32/8 =4 inches

l= 3(4) =12 inches

area = l×w = 12×4 = 48 square inches

Evaluate 2 to the ninth power. Help plz

Answers

2^9 = 2 x 2 x2 x 2 x 2 x 2 x2 x 2 x 2 = 512

2 ^9 = 512

Find the surface area of this rectangular prism. Be sure to include the correct unit in your answer.

7m
6 m
2 m

Answers

136 I think
Hope this helps you
I think this would be 136

PLEASE ANSWER I WILL MARK YOU AS BRAINLIEST IF YOU ANSWER CORRECTLYY PLS AND TY​

Answers

Answer:

it is a function

Step-by-step explanation:

Domain is 7 and the range is all the x values

PLEASE HELP ME QUICKLY PLEASE SOMEBODY I WILL GIVE BRAINLIEST

Answers

Answer:

.

Step-by-step explanation:

police chase a car. police are originally 5 miles behind. if the police car's speed is 90 mph and the car they chase is moving with a speed of 80 mph. how long will it take them to catch up?

Answers

Step-by-step explanation:

Let x be the number of hours for

the police to catch up to the car.

We have 90x = 80x + 5.

=> 10x = 5

=> x = 0.5.

Hence it will take them 30 minutes.

у= 4х + 3
у = -X - 2

Answers

Answer:

x = - 1

Step-by-step explanation:

y = 4x + 3

y = -x - 2

Find x:

4x + 3 = -x - 2

5x + 3 = - 2 (Adding x to both sides)

5x = - 5 (Subtracting 3 from both sides)

x = -1 (Dividing 5 from both sides)

Answer: x = - 1

A set of equations is given below:

Equation A: y = x + 9
Equation B: y = 2x + 1

What is the solution (
,
) to the given set of equations?

Answers

Answer:

comparing both equation we get,

2X+1=X+9

or, X=8

Y=X+9

or, Y=17

therefore the required solution is (8,17)

4. MARBLES Virginia's
mother gave her marbles for
her birthday. Virginia lost 13
of them. If she has 24 marbles
left, write and solve an
equation to find how many her
mother gave her.

Answers

Answer:

37

Step-by-step explanation:

If she has 24 left, and lost 13, you add 13 and 24 to find the original amount.

Virginia's mother gave her 37 marbles for her birthday.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

Virginia's mother gave her marbles for her birthday.

Let number of marbles = x

Here, Virginia lost 13 of them and she has 24 marbles left.

So, We get;

⇒ x - 13 = 24

Solve for x;

⇒ x = 24 + 13

⇒ x = 37

Thus, Virginia's mother gave her 37 marbles for her birthday.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

How do I do this? Please only the best help.

Answers

Answer:

77.5 degrees and 102.5 degrees

Step-by-step explanation:

Given that : one angle is25 degrees greater than another. Let the two angles be represented by a and b. Since one angle is 25 degreess greater than another, then:

b = a +  25 degrees

But;

a + b = 180 degrees  (sum of angles on a straight line)

a + a + 25 degrees  = 180 degrees

2a = 180 degrees - 25 degrees

a =  77.5 degrees

b = 77.5 degrees  + 25 degrees  = 102.5 degrees

Therefore the measures of all angles formed by the lines is either 77.5 degrees  or 102.5 degrees.

find the solution
[tex]3(2x + 12) = 6(x + 6)[/tex]
​

Answers

Infinite Solution - The equation are the same

Which expression can be used to determine how far around a rider has traveled after the Ferris wheel has gone around 8 times?

ANSWER FAST PLEASE

Answers

Answer:

Its A

Step-by-step explanation:

But don't believe me this is wrong

The area of the parallelogram is 315 square units. What is the height of the parallelogram?

Answers

Answer:

h = 15 units

Step-by-step explanation:

A = bh

315 = 21h

h = 315/21

h = 15

Answer:

15 sq. units

Step-by-step explanation:

The Intuition for why the area of a parallelogram is A=bh (area = base x height)

The formula for the area of a parallelogram is base times height, just like the formula for the area of a rectangle.

Have a great day!

HELP WITH MY MATH PLEASE

Answers

The angels across from each other are the same. That makes the sides and the interior lines the same as well. So that means the lines cannot cross each other. They are parallel

Answer:

because im god and god is good and 9 x 10 is 99999

Step-by-step explanation:

Exit Ticket 1/12 (A.2E, A.ZF)
What is the slope of a line perpendicular to a line with slope -6/5?

Answers

Answer:

5/6

Step-by-step explanation:

Perpendicular lines have slopes that are negative reciprocals of each other.

-6/5

6/5

5/6,,

b. , using the
Pythagorean Theorem,
show that.
C. Solve for X

Answers

X=20
WORK:

100+ 3x +x=180
4x+100=180
-100 -100
4x=80
divide both sides by 4
x=20

What is the solution to this equation?
x + 14 = -6

Answers

Answer:

x = -20

Step-by-step explanation:

Solve the system using the substitution method

x = -6y - 4
6x - 12y = 24

Answers

Answer:

x = 2, y = -1

Step-by-step explanation:

We have a solution system, x = -6y - 4 and 6x - 12y = 24.

Now, since are not only asked to use the substitution method, but at the same time know the value of x, let's plug the first system into the second.

x = -6y - 4

6(-6y - 4) - 12y = 24

-36y - 24 - 12y = 24

-48y - 24 = 24

Add 24 to both sides :

-48y = 48

Divide -48 by both sides :

y = -1

Now that we have y, we can replace it into the second system again to get x.

6x - 12(-1) = 24

6x + 12 = 24

Solve for x by first getting rid of 12 from both sides :

6x = 12

Divide 6 by both sides :

x = 2

Therefore, x = 2 and y = -1

Find the lcd between 1/6 and 2/9. Show your work.

Answers

The least common denominator is 18.

1/6 × 3/3 = 3/18
2/9 × 2/2 = 4/18

HELP AGAIN PLEASE 20 POINTS What methods can be used to solve a system of equations and when would you use each? Be sure to include systems with nonlinear equations.​

Answers

Answer:

The three ways to solve a system of equations are substitution, elimination, and graphing. You can use these methods to solve any system of equations, it just depends on which method you use.

Step-by-step explanation:

In the substitution method, you get one variable isolated on one side of an equation, then use that equation to substitute the variable with what it's equal to into the second equation to solve the equation.

In the elimination method, you get all the variables in your equations together one side, and the constant on the other. Then, multiply or divide one or two equations to get one variable with the same coefficient for both equations (be sure to multiply or divide both sides to each equation), and add or subtract the equations together to get rid of that variable (make sure to add the left sides of the equations together and the right sides of the equations together, no the opposite!) and solve the equation.

In the graphing method, you solve for y in each equation, graph both equations on a coordinate plane, and find the point of intersection for both lines to solve the equation (For example, if the point of intersection is (2, 7), the answer to your equation would be X = 2 and Y = 7).

Please answer all of them
If 3 hippos eat 5 pumpkins, how many pumpkins per hippo is that?0.6 pumpkin per hippo
If there are 9 hippos, how many pumpkins do you need?
If 3 hippos eat 5 pumpkins, how many hippos per pumpkin is that?
If you have 30 pumpkins, how many hippos can you feed?

Answers

I think the answer is 57

Mhanifa please help!! I will mark brainliest. Random answers will be reported

Answers

Answer:

[tex]\sqrt{h^2 + k^2}[/tex]

Step-by-step explanation:

Point O has coordinates (0, 0) B has coordinates (h, k)C has coordinates (h, 0)

Use the distance formula to find the length of OB:

OB = [tex]\sqrt{(h-0)^2 + (k-0)^2}[/tex] = [tex]\sqrt{h^2 + k^2}[/tex]

Define/explain the Pythagorean theorem.

Answers

Answer: The Pythagorean theorem consists of a formula a^2+b^2=c^2 which is used to figure out the value of (mostly) the hypotenuse in a right triangle. It's a fundamental relation in Euclidean geometry among the three sides of a right triangle.

Step-by-step explanation:

Answer:

Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the legs.

Pls help Find the measure of angle B​

Answers

Answer:

∠b = 61°

Step-by-step explanation:

∠b + 29° = 90°

∠b = 90° - 29°

∠b = 61°

What is the decimal equivalent for 139%

Answers

Answer: 1.39

Step-by-step explanation:

Hope it helps! Mark me brainliest.

Pls help me this is 7th grade (ADVANCED)

Answers

Answer:

Step-by-step explanation:

Any line will add up to 180 degrees. If you subtract the 165 degrees from 180 (total), you will get the x value.

180 - 165 = 15 degrees

nesesito ayuda con este problema ​

Answers

Answer:

Step-by-step explanation:

I KNOW SPEAK SPANISH GO TO A MEXICAN SITE NOT A AMERICAN SITE

hi sorry i don’t speak spanish :(

x=5
y=52


since AB and BC are the same length, you know it is an isosceles triangle
so two of the angles are the same
angle A and angle C are the same
so y = 52
A = C :. y = 52


all angles of a triangle add to 180
so add 52 and 52 to get 104
subtract 104 from 180 to get 76
set 14x + 6 = 76
14x = 70
x = 5

Which expression is equivalent to 6(3c-4)-2(5c-1)

Answers

Answer:

Step-by-step explanation:

8c−22

Answer:

8c−22

Step-by-step explanation:

Questions:
1. If the run of a ramp increases and the rise stays the same, how does the slope of the ramp change?

Answers

There is an exponential growth therefore the slope rises.

9514 1404 393

Answer:

  slope decreases

Step-by-step explanation:

The slope of a ramp is directly proportional to the rise and inversely proportional to the run. When the run increases, the slope decreases.

WILL MARK BRAINLYIST use the figure to determine each angle measure

Answers

Answer:

1. 60  2. 65  3. 115  4. 55  5. 120  6. 60

Step-by-step explanation:

Hope it helps!

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